Decay of mesons in flux-tube quark model

Strong decays of several light mesons are investigated in a flux-tube quark model, where a qq¯ pair is created either in the ${}_{}{}^3{}_{}{}^{}\mathrm{S}_1^{}{}_{}{}^{}$ state or in the ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ state within the flux tube. For comparison, decay rates are also calculated in a naive ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ model, where a qq¯ pair is created anywhere in the neighborhood of parent quarks. The sensitivity of the decay width to the radius of the pion, to relativistic factors like (m/E), and to final-state interactions is studied. Both the ${}_{}{}^3{}_{}{}^{}\mathrm{S}_1^{}{}_{}{}^{}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{P}_0^{}{}_{}{}^{}$ models can explain the available data; however, the ${}_{}{}^3{}_{}{}^{}\mathrm{S}_1^{}{}_{}{}^{}$ model requires stronger final-state interactions.